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- Title
Exponential type convexity and some related inequalities.
- Authors
Kadakal, Mahir; İşcan, İmdat
- Abstract
In this manuscript, we give and study the concept of exponential type convex functions and some of their algebraic properties. We prove two Hermite–Hadamard (H-H) type integral inequalities for the newly introduced class of functions. We also obtain some refinements of the H-H inequality for functions whose first derivative in absolute value at certain power is exponential type convex.
- Subjects
INTEGRAL inequalities; CONVEX functions; CONVEXITY spaces; ALGEBRAIC functions; ABSOLUTE value; MATHEMATICAL equivalence
- Publication
Journal of Inequalities & Applications, 2020, Vol 2020, Issue 1, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-020-02349-1